10340928 has 84 divisors (see below), whose sum is σ = 31943548. Its totient is φ = 3179520.

The previous prime is 10340927. The next prime is 10340963. The reversal of 10340928 is 82904301.

It can be written as a sum of positive squares in 2 ways, for example, as 2985984 + 7354944 = 1728^2 + 2712^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10340923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6798 + ... + 8178.

Almost surely, 2^10340928 is an apocalyptic number.

10340928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10340928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15971774).

10340928 is an abundant number, since it is smaller than the sum of its proper divisors (21602620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10340928 is a wasteful number, since it uses less digits than its factorization.

10340928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10340928 is about 3215.7313320612. The cubic root of 10340928 is about 217.8645175630.

Adding to 10340928 its product of nonzero digits (1728), we get a square (10342656 = 3216²).

The spelling of 10340928 in words is "ten million, three hundred forty thousand, nine hundred twenty-eight".